Random matrix theory in statistics: A review

D Paul, A Aue - Journal of Statistical Planning and Inference, 2014 - Elsevier
We give an overview of random matrix theory (RMT) with the objective of highlighting the
results and concepts that have a growing impact in the formulation and inference of …

Large system analysis of linear precoding in correlated MISO broadcast channels under limited feedback

S Wagner, R Couillet, M Debbah… - IEEE transactions on …, 2012 - ieeexplore.ieee.org
In this paper, we study the sum rate performance of zero-forcing (ZF) and regularized ZF
(RZF) precoding in large MISO broadcast systems under the assumptions of imperfect …

[LIVRE][B] Random matrix methods for machine learning

R Couillet, Z Liao - 2022 - books.google.com
This book presents a unified theory of random matrices for applications in machine learning,
offering a large-dimensional data vision that exploits concentration and universality …

On capacity of large-scale MIMO multiple access channels with distributed sets of correlated antennas

J Zhang, CK Wen, S **, X Gao… - IEEE Journal on …, 2013 - ieeexplore.ieee.org
In this paper, a deterministic equivalent of ergodic sum rate and an algorithm for evaluating
the capacity-achieving input covariance matrices for the uplink large-scale multiple-input …

Fluctuations of eigenvalues and second order Poincaré inequalities

S Chatterjee - Probability Theory and Related Fields, 2009 - Springer
Linear statistics of eigenvalues in many familiar classes of random matrices are known to
obey gaussian central limit theorems. The proofs of such results are usually rather difficult …

A new approach for mutual information analysis of large dimensional multi-antenna channels

W Hachem, O Khorunzhiy, P Loubaton… - IEEE Transactions …, 2008 - ieeexplore.ieee.org
This paper adresses the behavior of the mutual information of correlated multiple-input
multiple-output (MIMO) Rayleigh channels when the numbers of transmit and receive …

A deterministic equivalent for the analysis of correlated MIMO multiple access channels

R Couillet, M Debbah… - IEEE Transactions on …, 2011 - ieeexplore.ieee.org
In this article, novel deterministic equivalents for the Stieltjes transform and the Shannon
transform of a class of large dimensional random matrices are provided. These results are …

Base station cooperation on the downlink: Large system analysis

R Zakhour, SV Hanly - IEEE Transactions on information theory, 2012 - ieeexplore.ieee.org
This paper considers maximizing the network-wide minimum supported rate in the downlink
of a two-cell system, where each base station (BS) is endowed with multiple antennas. This …

Outage probability and finite-SNR DMT analysis for IRS-aided MIMO systems: How large IRSs need to be?

X Zhang, X Yu, SH Song - IEEE Journal of Selected Topics in …, 2022 - ieeexplore.ieee.org
Intelligent reflecting surfaces (IRSs) are promising enablers for high-capacity wireless
communication systems by constructing favorable channels between the transmitter and …

Joint power and antenna selection optimization in large cloud radio access networks

A Liu, VKN Lau - IEEE Transactions on Signal Processing, 2014 - ieeexplore.ieee.org
Large multiple-input multiple-output (MIMO) networks promise high energy efficiency, ie,
much less power is required to achieve the same capacity compared to the conventional …